Details

Time bar (total: 7.6s)

sample77.0ms

Algorithm
intervals
Results
16.0ms261×body80nan
15.0ms517×pre80true
12.0ms136×body160valid
5.0ms120×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.4b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.3b
(- (* b b) (* (* 3.0 a) c))
0.4b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
28.2b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-log-exp
9×pow1
7×add-sqr-sqrt add-cube-cbrt
6×distribute-lft-out
5×times-frac associate-/l*
4×prod-exp cbrt-unprod
3×distribute-rgt-neg-in associate-*r* pow-prod-down
2×cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
1×+-commutative sub-neg flip3-- frac-2neg diff-log div-sub associate-*l* neg-log clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
3.0ms
(- (* b b) (* (* 3.0 a) c))
12.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series56.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 3.0 a) c)
9.0ms
(- (* b b) (* (* 3.0 a) c))
25.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
18.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify55.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0417711
11922611
25001602

prune355.0ms

Filtered
85 candidates to 59 candidates (30.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New79685
Fresh000
Picked101
Done000
Total80686

Merged error: 0.4b

Counts
86 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* b b) (* (* 3.0 a) c))
0.3b
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(* 3.0 (* a c))
0.4b
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
79×add-sqr-sqrt *-un-lft-identity
39×add-cube-cbrt
30×associate-/l*
23×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
10×distribute-rgt-neg-in sqrt-prod
9×pow1
8×associate-/r*
7×cbrt-undiv div-exp
6×associate-/r/ add-log-exp
5×prod-exp cbrt-unprod
4×flip3-- flip-- div-inv
3×associate-*l* pow-prod-down associate-/l/
2×frac-2neg clear-num
1×sub-neg flip3-+ diff-log associate-*r* *-commutative flip-+
Counts
4 → 151
Calls
4 calls:
4.0ms
(- (* b b) (* (* 3.0 a) c))
12.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms
(* 3.0 (* a c))
17.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series118.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (* b b) (* (* 3.0 a) c))
59.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
3.0ms
(* 3.0 (* a c))
47.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify120.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
06512507
133122195
250012183

prune940.0ms

Filtered
163 candidates to 102 candidates (37.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1558163
Fresh505
Picked011
Done000
Total1609169

Merged error: 0.0b

Counts
169 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.3b
(- (* b b) (* (* 3.0 a) c))
0.3b
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
79×add-sqr-sqrt *-un-lft-identity
39×add-cube-cbrt
30×associate-/l*
23×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
10×distribute-rgt-neg-in sqrt-prod
9×pow1
8×associate-/r*
7×cbrt-undiv div-exp
6×associate-/r/ add-log-exp
5×prod-exp cbrt-unprod
4×flip3-- flip-- div-inv
3×associate-*r* pow-prod-down associate-/l/
2×frac-2neg clear-num
1×sub-neg flip3-+ diff-log associate-*l* *-commutative flip-+
Counts
4 → 151
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
4.0ms
(- (* b b) (* (* 3.0 a) c))
15.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
18.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series116.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 3.0 a) c)
9.0ms
(- (* b b) (* (* 3.0 a) c))
59.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
45.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify123.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
06312509
135202189
250032186

prune1.0s

Filtered
163 candidates to 102 candidates (37.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1621163
Fresh167
Picked011
Done011
Total1639172

Merged error: 0.0b

Counts
172 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* b b) (* (* 3.0 a) c))
0.3b
(/ 3.0 (/ 3.0 (* a c)))
0.3b
(/ 3.0 (* a c))
0.4b
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
224×times-frac
161×add-sqr-sqrt
135×*-un-lft-identity
108×add-exp-log
97×add-cube-cbrt
85×associate-*r*
72×add-cbrt-cube
56×div-exp
34×cbrt-undiv
27×prod-exp
26×associate-*l*
18×distribute-lft-out-- difference-of-squares
17×cbrt-unprod
14×div-inv
9×distribute-rgt-neg-in sqrt-prod
8×associate-/r* associate-/r/ unswap-sqr
6×pow1 associate-/l* add-log-exp
4×rec-exp flip3-- 1-exp flip--
2×frac-2neg clear-num
1×frac-times sub-neg diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 244
Calls
4 calls:
4.0ms
(- (* b b) (* (* 3.0 a) c))
6.0ms
(/ 3.0 (/ 3.0 (* a c)))
5.0ms
(/ 3.0 (* a c))
59.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series64.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (* b b) (* (* 3.0 a) c))
4.0ms
(/ 3.0 (/ 3.0 (* a c)))
3.0ms
(/ 3.0 (* a c))
48.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify59.0ms

Algorithm
egg-herbie
Counts
256 → 256
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013373193
150012514

prune1.7s

Filtered
256 candidates to 160 candidates (37.5%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New2542256
Fresh156
Picked011
Done022
Total25510265

Merged error: 0b

Counts
265 → 10

regimes346.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01813
12013
22013

end0.0ms

sample2.2s

Algorithm
intervals
Results
607.0ms4465×body160valid
443.0ms16513×pre80true
365.0ms8513×body80nan
162.0ms3535×body80valid

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